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Submission #886348

# Submission time Handle Problem Language Result Execution time Memory
886348 2023-12-11T22:42:20 Z Hakiers Growing Vegetable is Fun 3 (JOI19_ho_t3) C++17
100 / 100
 286 ms 591564 KB 
#include <bits/stdc++.h>
using namespace std;
constexpr int MAXN = 407;
constexpr int oo = 1e9;
int sumpref[MAXN][3];
int POS[MAXN][MAXN][MAXN][3];
int dp[2][MAXN][MAXN][3];
vector<int> idx[3];
int R,G,Y;
int n;

int check(int i, int j, int k, int v){
	int ith, sum = 0;
	if(v == 0)
		ith = idx[v][i-1];
	if(v == 1)
		ith = idx[v][j-1];
	if(v == 2)
		ith = idx[v][k-1];
	
	sum += max(sumpref[ith][0], i);
	sum += max(sumpref[ith][1], j);
	sum += max(sumpref[ith][2], k);
	
	return sum;
}

void computePos(){
	for(int i = 0; i <= n; i++){
		for(int j = 0; j <= n; j++){
			for(int k = 1; k <= n; k++){
				if(k <= R && i <= G && j <= Y)
					POS[k][i][j][0] = check(k, i, j, 0);
				if(i <= R && k <= G && j <= Y)
					POS[i][k][j][1] = check(i, k, j, 1);
				if(i <= R && j <= G && k <= Y)
					POS[i][j][k][2] = check(i, j, k, 2);
			}
		}
	}
}

void solve(){
	for(int i = 0; i < 2; i++)
		for(int j = 0; j <= n; j++)
			for(int k = 0; k <= n; k++)
				dp[i][j][k][0] = dp[i][j][k][1] = dp[i][j][k][2] = oo;
				
	dp[0][0][0][0] = dp[0][0][0][1] = dp[0][0][0][2] = 0;
	
	
	//dp[i][j][k][v]
	// i -> pozycja
	// j -> ile R
	// k -> ile G
	for(int i = 1; i <= n; i++){
		for(int j = 0; j <= min(R, i); j++){
			for(int k = 0; k <= min(G, i); k++){
				//dla 0 -> {1, 2}
				//dla 1 -> {0, 2}
				//dla 2 -> {1, 2}
				
				//na pozycji itej stawiamy R
				if(j && j+k <= i)
					dp[i%2][j][k][0] = min(dp[(i-1)%2][j-1][k][1], dp[(i-1)%2][j-1][k][2]) + abs(i - POS[j][k][i - (j+k)][0]);
				
				//na pozycji itej stawiamy G
				if(k && j+k <= i)
					dp[i%2][j][k][1] = min(dp[(i-1)%2][j][k-1][0], dp[(i-1)%2][j][k-1][2]) + abs(i - POS[j][k][i - (j+k)][1]);
				
				//na pozycji itej stawiamy Y
				if(i >= j+k && (i - (j+k) <= Y))
					dp[i%2][j][k][2] = min(dp[(i-1)%2][j][k][0], dp[(i-1)%2][j][k][1]) + abs(i - POS[j][k][i - (j+k)][2]);
			
			}
		}
		
		for(int j = 0; j <= min(R, i+1); j++)
			for(int k = 0; k <= min(G, i+1); k++)
				dp[(i+1)%2][j][k][0] = dp[(i+1)%2][j][k][1] = dp[(i+1)%2][j][k][2] = oo;
	}

}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin >> n;
	for(int i = 1; i <= n; i++){
		char c;
		cin >> c;
		if(c == 'R'){
			idx[0].push_back(i);
			R++;
		}
		else if(c == 'G'){
			idx[1].push_back(i);
			G++;
		}
		else if(c == 'Y'){
			idx[2].push_back(i);
			Y++;
		}
	
		sumpref[i][0] = R;
		sumpref[i][1] = G;
		sumpref[i][2] = Y;
	}

	computePos();
	solve();
	
	int res = min({dp[n%2][R][G][0], dp[n%2][R][G][1], dp[n%2][R][G][2]});
	if(res >= oo) cout << "-1 \n";
	else cout << res << "\n";
	
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 4572 KB Output is correct
4 Correct 1 ms 10584 KB Output is correct
5 Correct 2 ms 14684 KB Output is correct
6 Correct 2 ms 16732 KB Output is correct
7 Correct 2 ms 18776 KB Output is correct
8 Correct 2 ms 16732 KB Output is correct
9 Correct 2 ms 16732 KB Output is correct
10 Correct 5 ms 24924 KB Output is correct
11 Correct 2 ms 14804 KB Output is correct
12 Correct 2 ms 14684 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Correct 2 ms 16732 KB Output is correct
15 Correct 2 ms 12636 KB Output is correct
16 Correct 3 ms 26972 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct

Subtask #2
55.0 / 55.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 4572 KB Output is correct
4 Correct 1 ms 10584 KB Output is correct
5 Correct 2 ms 14684 KB Output is correct
6 Correct 2 ms 16732 KB Output is correct
7 Correct 2 ms 18776 KB Output is correct
8 Correct 2 ms 16732 KB Output is correct
9 Correct 2 ms 16732 KB Output is correct
10 Correct 5 ms 24924 KB Output is correct
11 Correct 2 ms 14804 KB Output is correct
12 Correct 2 ms 14684 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Correct 2 ms 16732 KB Output is correct
15 Correct 2 ms 12636 KB Output is correct
16 Correct 3 ms 26972 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 6 ms 49756 KB Output is correct
19 Correct 5 ms 41816 KB Output is correct
20 Correct 8 ms 53796 KB Output is correct
21 Correct 6 ms 43608 KB Output is correct
22 Correct 6 ms 51804 KB Output is correct
23 Correct 5 ms 37468 KB Output is correct
24 Correct 3 ms 25080 KB Output is correct
25 Correct 10 ms 76548 KB Output is correct
26 Correct 7 ms 66140 KB Output is correct
27 Correct 8 ms 57948 KB Output is correct
28 Correct 5 ms 45656 KB Output is correct
29 Correct 6 ms 47708 KB Output is correct
30 Correct 5 ms 37468 KB Output is correct
31 Correct 4 ms 35420 KB Output is correct
32 Correct 5 ms 39516 KB Output is correct
33 Correct 6 ms 53852 KB Output is correct
34 Correct 7 ms 47704 KB Output is correct
35 Correct 6 ms 49756 KB Output is correct
36 Correct 6 ms 43788 KB Output is correct
37 Correct 4 ms 31324 KB Output is correct
38 Correct 4 ms 33372 KB Output is correct
39 Correct 5 ms 41564 KB Output is correct
40 Correct 1 ms 4700 KB Output is correct
41 Correct 3 ms 23132 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8736 KB Output is correct
2 Correct 284 ms 394420 KB Output is correct
3 Correct 238 ms 394684 KB Output is correct
4 Correct 235 ms 394604 KB Output is correct
5 Correct 236 ms 394580 KB Output is correct
6 Correct 237 ms 394612 KB Output is correct
7 Correct 286 ms 392552 KB Output is correct
8 Correct 264 ms 392552 KB Output is correct
9 Correct 251 ms 392532 KB Output is correct
10 Correct 238 ms 394584 KB Output is correct
11 Correct 269 ms 394544 KB Output is correct
12 Correct 50 ms 205648 KB Output is correct
13 Correct 94 ms 271444 KB Output is correct
14 Correct 143 ms 326736 KB Output is correct
15 Correct 255 ms 392528 KB Output is correct
16 Correct 239 ms 392436 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 4572 KB Output is correct
4 Correct 1 ms 10584 KB Output is correct
5 Correct 2 ms 14684 KB Output is correct
6 Correct 2 ms 16732 KB Output is correct
7 Correct 2 ms 18776 KB Output is correct
8 Correct 2 ms 16732 KB Output is correct
9 Correct 2 ms 16732 KB Output is correct
10 Correct 5 ms 24924 KB Output is correct
11 Correct 2 ms 14804 KB Output is correct
12 Correct 2 ms 14684 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Correct 2 ms 16732 KB Output is correct
15 Correct 2 ms 12636 KB Output is correct
16 Correct 3 ms 26972 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 6 ms 49756 KB Output is correct
19 Correct 5 ms 41816 KB Output is correct
20 Correct 8 ms 53796 KB Output is correct
21 Correct 6 ms 43608 KB Output is correct
22 Correct 6 ms 51804 KB Output is correct
23 Correct 5 ms 37468 KB Output is correct
24 Correct 3 ms 25080 KB Output is correct
25 Correct 10 ms 76548 KB Output is correct
26 Correct 7 ms 66140 KB Output is correct
27 Correct 8 ms 57948 KB Output is correct
28 Correct 5 ms 45656 KB Output is correct
29 Correct 6 ms 47708 KB Output is correct
30 Correct 5 ms 37468 KB Output is correct
31 Correct 4 ms 35420 KB Output is correct
32 Correct 5 ms 39516 KB Output is correct
33 Correct 6 ms 53852 KB Output is correct
34 Correct 7 ms 47704 KB Output is correct
35 Correct 6 ms 49756 KB Output is correct
36 Correct 6 ms 43788 KB Output is correct
37 Correct 4 ms 31324 KB Output is correct
38 Correct 4 ms 33372 KB Output is correct
39 Correct 5 ms 41564 KB Output is correct
40 Correct 1 ms 4700 KB Output is correct
41 Correct 3 ms 23132 KB Output is correct
42 Correct 1 ms 8736 KB Output is correct
43 Correct 284 ms 394420 KB Output is correct
44 Correct 238 ms 394684 KB Output is correct
45 Correct 235 ms 394604 KB Output is correct
46 Correct 236 ms 394580 KB Output is correct
47 Correct 237 ms 394612 KB Output is correct
48 Correct 286 ms 392552 KB Output is correct
49 Correct 264 ms 392552 KB Output is correct
50 Correct 251 ms 392532 KB Output is correct
51 Correct 238 ms 394584 KB Output is correct
52 Correct 269 ms 394544 KB Output is correct
53 Correct 50 ms 205648 KB Output is correct
54 Correct 94 ms 271444 KB Output is correct
55 Correct 143 ms 326736 KB Output is correct
56 Correct 255 ms 392528 KB Output is correct
57 Correct 239 ms 392436 KB Output is correct
58 Correct 184 ms 244812 KB Output is correct
59 Correct 214 ms 285776 KB Output is correct
60 Correct 223 ms 281560 KB Output is correct
61 Correct 221 ms 265156 KB Output is correct
62 Correct 251 ms 423252 KB Output is correct
63 Correct 237 ms 386396 KB Output is correct
64 Correct 231 ms 369744 KB Output is correct
65 Correct 223 ms 314584 KB Output is correct
66 Correct 238 ms 271568 KB Output is correct
67 Correct 203 ms 224300 KB Output is correct
68 Correct 197 ms 271488 KB Output is correct
69 Correct 203 ms 271564 KB Output is correct
70 Correct 198 ms 269400 KB Output is correct
71 Correct 197 ms 300216 KB Output is correct
72 Correct 222 ms 591564 KB Output is correct
73 Correct 97 ms 12760 KB Output is correct